First step: you got to add y to both sides in the math problem Ex: 15x - y + y < 12 + y
Second step: simplify 15x < 12 + y
Third Step: This you got to divide both sides by 15 like this: 15x/15 < 12/15 + y/15
Last and Fourth step: Simplify and thats your answer x < 12 + y/15
Answer: (n+5)x(n+1)
Step-by-step explanation:
1. Write 6n as a sum
2. Factor out n form the expression
3. Factor out n+5 from the expression
(n+5)x(n+1)
Answer:
Factor x2−4x
x2−4x
=x(x−4)
Answer:
x(x−4)
Step-by-step explanation:
Answer:



Step-by-step explanation:
Given




Required
The dimension that minimizes the cost
The volume is:

This gives:

Substitute 


Make H the subject


The surface area is:
Area = Area of Bottom + Area of Sides
So, we have:

The cost is:



Substitute:
and 



To minimize the cost, we differentiate

Then set to 0


Rewrite as:

Divide both sides by W

Rewrite as:

Solve for 


Take cube roots

Recall that:







Hence, the dimension that minimizes the cost is:



9514 1404 393
Answer:
(b) 23
Step-by-step explanation:
The diagonals of a rectangle are the same length, so ...
AC = BD
2x +10 = 56
x +5 = 28 . . . . . divide by 2
x = 23 . . . . . . . . subtract 5